Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

Tazaki, Asahi; Takeuchi, Shintaro; Miyauchi, Suguru; Zhang, Lucy T.; Onishi, Ryo; Kajishima, Takeo

doi:https://doi.org/10.1017/jmech.2020.38

Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

Tazaki, Asahi; Takeuchi, Shintaro; Miyauchi, Suguru et al.

Journal of Mechanics, 2020, 36(5), 637-648

Number of Access:864（2025-09-30 11:15 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/76915

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Title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
Creator	CreatorName Tazaki, Asahi
	NRID 1000050372628 1000050372628 ORCID 0000-0003-0091-4542 0000-0003-0091-4542 researchmap permalink 50372628 50372628 Scopus Author ID 35474283000 35474283000 CreatorName Takeuchi, Shintaro
	NRID 1000000758691 1000000758691 CreatorName Miyauchi, Suguru
	CreatorName Zhang, Lucy T.
	NRID 1000030414361 1000030414361 CreatorName Onishi, Ryo
	NRID 1000030185772 1000030185772 CreatorName Kajishima, Takeo
Subject	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
Description	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
Abstract	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
Publisher	Cambridge University Press
Source Title	Journal of Mechanics
Volume (Issue)	36(5)
Page	637-648
Date of Issued	2020-08-14
Language	English
Handle URL	https://hdl.handle.net/11094/76915
PISSN	17277191
eISSN	18118216
NCID	AA12373576
Relation.isVersionOf	DOI (Publisher Version) https://doi.org/10.1017/jmech.2020.38
Access Rights	open access
CopyRight	© 2020 The Society of Theoretical and Applied Mechanics.
oaire:version	Accepted Manuscript
Category	学術雑誌論文 Journal Article

Resource Type	journal article
Local Type	Journal Article
DCMI Type	Text
DCTERMS.bibliographicCitation	Journal of Mechanics. 2020, 36(5), p. 637-648
DC.title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
DC.creator	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
DC.publisher	Cambridge University Press
DC.language' scheme='DCTERMS.RFC1766	English
DC.type' scheme='DCTERMS.DCMIType	Text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-08-14
DC.identifier	https://doi.org/10.1017/jmech.2020.38
DC.subject	Lubrication
	Permeable membrane
	Pressure discontinuity
	Discrete-forcing immersed boundary method
DC.description	This article has been published in a revised form in Journal of Mechanics [https://doi.org/10.1017/jmech.2020.38]. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © 2020 The Society of Theoretical and Applied Mechanics.
DCTERMS.abstract	To understand the lubrication-dominated permeation through a membrane, numerical simulations of permeation through a moving corrugated permeable membrane is carried out with a fully validated numerical method. Through comparisons between the numerical results and the results of an asymptotic analysis of permeate flux (under an infinitesimal permeability condition) using Reynolds lubrication equation, the effect of permeation on lubrication and its inverse effect (i.e., the dependence of permeation on lubrication) are discussed. The linear and nonlinear dependences of the relaxation of the lubrication pressure due to membrane permeation are identified. The effect of the tangential component of the permeate flux is evaluated by a linear analysis, and the limitation of Reynolds-type lubrication is discussed.
DC.rights	© 2020 The Society of Theoretical and Applied Mechanics.
DC.format	76915
citation_title	Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication
citation_author	Tazaki, Asahi
	Takeuchi, Shintaro
	Miyauchi, Suguru
	Zhang, Lucy T.
	Onishi, Ryo
	Kajishima, Takeo
citation_publisher	Cambridge University Press
citation_language	English
citation_date	2020-08-14
citation_journal_title	Journal of Mechanics
citation_volume	36
citation_issue	5
citation_firstpage	637
citation_lastpage	648
citation_doi	https://doi.org/10.1017/jmech.2020.38
citation_public_url	https://hdl.handle.net/11094/76915

Fluid permeation through a membrane with infinitesimal permeability under Reynolds lubrication

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